542755009419840 has 2240 divisors, whose sum is σ = 2336262368563200. Its totient is φ = 116840968667136.

The previous prime is 542755009419817. The next prime is 542755009419877. The reversal of 542755009419840 is 48914900557245.

542755009419840 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 5 + 500 + 9 + 41 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 636289576854 + ... + 636289577706.

It is an arithmetic number, because the mean of its divisors is an integer number (1042974271680).

Almost surely, 2^{542755009419840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542755009419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168131184281600).

542755009419840 is an abundant number, since it is smaller than the sum of its proper divisors (1793507359143360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542755009419840 is a wasteful number, since it uses less digits than its factorization.

542755009419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 542755009419840 in words is "five hundred forty-two trillion, seven hundred fifty-five billion, nine million, four hundred nineteen thousand, eight hundred forty".